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Finding the Fourth Proportional to 334,804.74, 502,208.01 and 82,086.36

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Solution

The fourth proportional to 334,804.74, 502,208.01 and 82,086.36 is: 123,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,804.74 : 502,208.01 = 82,086.36 : x
  2. Step 2: Convert to fraction form
    334,804.74/502,208.01 = 82,086.36/x
  3. Step 3: Cross multiply
    334,804.74x = 502,208.01 × 82,086.36
  4. Step 4: Simplify right side
    334,804.74x = 41,224,427,503.74
  5. Step 5: Solve for x
    x = 41,224,427,503.74/334,804.74
  6. Step 6: Final answer
    x = 123,129.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.